Question

Show that x = –2 is a solution of 3x² + 13x + 14 = 0.

Answer 1

Given that the equation 3x² + 13x + 14 = 0

`3x^2 + 7x + 6x + 14 = 0`

`x (3x + 7) + 2 (3x + 7) = 0`

`(3x + 7) (x + 2) = 0`

(3x + 7) = 0

`x = (-7)/3`

 or

(x + 2) = 0

 x = - 2

Therefore, x = -2 is the solution of given equation.

Hence, proved.